1293669706000 has 640 divisors, whose sum is σ = 3922524942336. Its totient is φ = 402567782400.

The previous prime is 1293669705971. The next prime is 1293669706037. The reversal of 1293669706000 is 6079663921.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 849421239 + ... + 849422761.

Almost surely, 2^{1293669706000} is an apocalyptic number.

1293669706000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1293669706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961262471168).

1293669706000 is an abundant number, since it is smaller than the sum of its proper divisors (2628855236336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1293669706000 is a wasteful number, since it uses less digits than its factorization.

1293669706000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 49.

The spelling of 1293669706000 in words is "one trillion, two hundred ninety-three billion, six hundred sixty-nine million, seven hundred six thousand".